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Finding the Third Proportional to 490,345,664 and 731,266,320

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Solution

The third proportional to 490,345,664 and 731,266,320 is: 1,090,558,089.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,345,664 : 731,266,320 = 731,266,320 : x
  2. Step 2: Convert to fraction form
    490,345,664/731,266,320 = 731,266,320/x
  3. Step 3: Cross multiply
    490,345,664x = 731,266,320 × 731,266,320
  4. Step 4: Simplify right side
    490,345,664x = 534,750,430,766,342,400
  5. Step 5: Solve for x
    x = 534,750,430,766,342,400/490,345,664
  6. Step 6: Final answer
    x = 1,090,558,089.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.